115277472 has 96 divisors (see below), whose sum is σ = 350904960. Its totient is φ = 36748800.

The previous prime is 115277467. The next prime is 115277479. The reversal of 115277472 is 274772511.

115277472 is a `hidden beast` number, since 115 + 2 + 77 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115277479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16972 + ... + 22772.

It is an arithmetic number, because the mean of its divisors is an integer number (3655260).

Almost surely, 2^115277472 is an apocalyptic number.

115277472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115277472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175452480).

115277472 is an abundant number, since it is smaller than the sum of its proper divisors (235627488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115277472 is a wasteful number, since it uses less digits than its factorization.

115277472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5829 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 115277472 is about 10736.7346991532. The cubic root of 115277472 is about 486.6852093600.

The spelling of 115277472 in words is "one hundred fifteen million, two hundred seventy-seven thousand, four hundred seventy-two".